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//Fluid system - By - Shiv Kumar
//Chapter 2 - Impact of Jet
//Example 2.25
clc
clear
//Given Data:-
Vi=32; //Absolute velocity of Jet at inlet, m/s
N=250; //Speed of the wheel, rpm
alpha_i=20; //angle of Jet at inlet, degrees
Vo=6; //Absolute velocity of Jet at outlet, m/s
alpha=132; //Angle made by Jet at outlet with tangent to wheel, degrees
alpha_o=180-alpha; //degrees
Do=1.2; //outer Diameter of wheel, m
Di=0.75; //Inner diameter of wheel, m
//Data Used:-
g=9.81; //Acceleration due to gravity, m/s^2
//Computations:-
ui=%pi*Do*N/60; //m/s
uo=%pi*Di*N/60; //m/s
//(a)
Vfi=Vi*sind(alpha_i); //m/s
Vwi=Vi*cosd(alpha_i); //m/s
Vrwi=Vwi-ui; //m/s
Vwo=Vo*cosd(alpha_o); //m/s
Vrwo=uo+Vwo; //m/s
Vfo=Vo*sind(alpha_o); //m/s
beta_i=atand(Vfi/Vrwi); //degrees
beta_o=atand(Vfo/Vrwo); //degrees
//(b)
W=(Vwi*ui+Vwo*uo)/g; //N-m/N
//(c)
eta=2*(Vwi*ui+Vwo*uo)/Vi^2*100; //in percentage
//Results:-
printf("(a)Vane angle at Inlet, beta_i=%.2f degrees \n", beta_i) //The answer vary due to round off error
printf(" Vane angle at Outlet, beta_o=%.2f degrees \n", beta_o) //The answer vary due to round off error
printf("(b)Work done per second per unit weight of water strikes on vane per second=%.2f N-m/N \n", W) //The answer vary due to round off error
printf("(c)Efficiency of the wheel, eta=%.2f percent",eta) //The answer vary due to round off error
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